Number Theory : : Diophantine, Computational and Algebraic Aspects. Proceedings of the International Conference held in Eger, Hungary, July 29-August 2, 1996 / / ed. by Attila Pethoe, Kalman Gyoery, Vera T. Sos.

• Superior document: Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999
• MitwirkendeR: Adhikari, Sukumar Das,; Akiyama, Shigeki,; Amoroso, Francesco,; Baker, A.,; Bayer-Fluckiger, Eva,; Beck, József,; Brindza, Béla,; Brindza, Β.,; Bugeaud, Yann,; Bérczes, A.,; Cavallar, Stefania,; Dujella, Andrej,; Duverney, Daniel,; Erdős, Paul,; Evertse, Jan-Hendrik,; Franco, Zachary M.,; Fujii, Akio,; Fujiwara, Masahiko,; Gaál, István,; Győry, K.,; Hajdu, L.,; Kanemitsu, S.,; Kiss, Péter,; Korec, Ivan,; Kuzumaki, T.,; Laurent, Michel,; Lemmermeyer, Franz,; Lettl, Günter,; Liptai, Kálmán,; Martinet, Jacques,; Melfi, Giuseppe,; Mignotte, Maurice,; Mátyás, Ferenc,; Nakahara, Toru,; Nakamula, Ken,; Niederreiter, Harald,; Nishioka, Keiji,; Nishioka, Kumiko,; Okazaki, Ryotaro,; Parusnikov, V.I.,; Pethő, Attila,; Pintér, Á.,; Rotkiewicz, A.,; Schinzel, A.,; Shiokawa, Iekata,; Szalay, László,; Terai, Nobuhiro,; Thuswaldner, Jörg Μ.,; Tichy, R.F.,; Tijdeman, R.,; Voutier, Paul,; Xing, Chaoping,; Zimmer, Horst G.,
• HerausgeberIn: Gyoery, Kalman,; Pethoe, Attila,; Sos, Vera T.,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2011]; ©1998
• Year of Publication: 2011
• Edition: Reprint 2011
• Language: English
• Series: De Gruyter Proceedings in Mathematics
• Physical Description: 1 online resource (595 p.)

Table of Contents

I-IV -- Preface -- Table of contents -- List of participants -- The average behaviour of the number of solutions of a Diophantine equation and an averaging technique -- Pisot numbers and greedy algorithm -- Upper bounds for the resultant and Diophantine applications -- Logarithmic forms and the abc- conjecture -- Local—global principles and linear algebraic groups -- Diophantine approximation and quadratic fields -- On a problem of P. Turán concerning irreducible polynomials -- On products of the terms of linear recurrences -- On the Kronecker-Győry specialization -- On the greatest prime factor of axm + byn -- The Euclidean algorithm in cubic number fields -- A problem of Diophantus and Dickson's conjecture -- Transcendence of Jacobi's theta series and related results -- Some of my new and almost new problems and results in combinatorial number theory -- Lower bounds for resultants II -- Distribution of binomial coefficients modulo ρ -- The distribution of the zeros of the Riemann zeta function and Baker's theorems -- θ-congruent numbers -- Computing power integral bases in algebraic number fields -- Recent bounds for the solutions of decomposable form equations -- On a generalization of the Maillet determinant -- An approximation problem concerning linear recurrences -- Elementary definability from Pascal's triangle modulo ρ and the set of e-th powers -- New methods in algebraic independence -- On the arithmetic of simplest sextic fields and related Thue equations -- Algebraic constructions of lattices; isodual lattices -- Real roots of Fibonacci-like polynomials -- On some modular identities -- Complete resolution of some families of Diophantine equations -- Experiments on a problem of D. Shanks concerning quadratic fields -- Squares in binary recurrence sequences -- Algebraic curves over finite fields with many rational points -- On a Shintani decomposition for a cubic field defined by X3 + kX - 1 = 0 -- Klein polyhedra for complete decomposable forms -- Arithmetical progressions formed by Lucas pseudoprimes -- Reducibility of polynomials over Kroneckerian fields -- A note on certain exponential Diophantine equations -- The fundamental lemma of Kubilius and the model of Kubilius in number fields -- Diophantine properties of digital expansions -- Exponential diophantine equations 1986-1996 -- Basic algorithms for elliptic curves